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Sudoku Rules

A concise, canonical reference to the rules of Sudoku.

The rule of Sudoku

Sudoku has a single rule, applied three ways. Each row, each column and each 3×3 box must contain the digits 1 through 9 exactly once. No digit may repeat within any row, column or box.

The three constraints

Rows

Nine cells across. Every digit 1–9 appears once, with no repeats.

Columns

Nine cells down. Every digit 1–9 appears once, with no repeats.

Boxes

Each 3×3 block contains every digit 1–9 once, with no repeats.

What makes a valid puzzle

  • Unique solution. A proper Sudoku has exactly one solution. A puzzle with two or more answers is considered invalid.
  • Logically solvable. The single solution can be reached by deduction; well-made puzzles never require guessing.
  • Minimum clues. A standard 9×9 Sudoku with a unique solution needs at least 17 given numbers — proven in 2012.

Quick cheat sheet

  • Fill every empty cell with a digit 1–9.
  • No repeats in any row.
  • No repeats in any column.
  • No repeats in any 3×3 box.
  • Use logic, never guesswork — there is always one provable answer.

Rules clear? Put them into practice on an easy grid, or read the step-by-step beginner's guide for a worked example.

Frequently asked questions

Can a Sudoku have more than one solution?
A proper Sudoku has exactly one. Multiple solutions mean the puzzle is invalid.
What is the minimum number of clues?
A unique 9×9 Sudoku needs at least 17 givens. This was proven by exhaustive computer search in 2012.
Do the same rules apply to 4×4 and 16×16 Sudoku?
Yes — fill each row, column and box with the full set of symbols once. Only the grid size and symbol set change.